Trang graphed the system of equations below.

y = negative 2 (x + 3). Y = negative 2 x + 3

Trang says that the system of equations has no solution. Which explains whether or not he is correct?
Trang is correct because the lines have the same slope but different y-intercepts.
Trang is correct because the lines have the same slope and the same y-intercept.
Trang is not correct because the lines have the same slope but different y-intercepts.
Trang is not correct because the lines have the same slope and the same y-intercept.



Answer :

Answer:

  (a)  Trang is correct because the lines have the same slope but different y-intercepts.

Step-by-step explanation:

You want to know whether Trang is correct in saying y = 2(x +3) and y = 2x +3 is a system of equations with no solution.

Slope-intercept form

Eliminating parentheses from the first equation, it becomes ...

  y = 2x +6

This equation has the same slope (2) and a different y-intercept (6) from the second equation, which has a y-intercept of 3.

Trang is correct because the lines have the same slope but different y-intercepts — choice A.